428510855512146 has 96 divisors (see below), whose sum is σ = 944365857378048. Its totient is φ = 129527909280000.

The previous prime is 428510855512141. The next prime is 428510855512151. The reversal of 428510855512146 is 641215558015824.

It is an interprime number because it is at equal distance from previous prime (428510855512141) and next prime (428510855512151).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (428510855512141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1840083756 + ... + 1840316616.

It is an arithmetic number, because the mean of its divisors is an integer number (9837144347688).

Almost surely, 2^{428510855512146} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428510855512146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472182928689024).

428510855512146 is an abundant number, since it is smaller than the sum of its proper divisors (515855001865902).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428510855512146 is a wasteful number, since it uses less digits than its factorization.

428510855512146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239200 (or 239189 counting only the distinct ones).

The product of its (nonzero) digits is 15360000, while the sum is 57.

The spelling of 428510855512146 in words is "four hundred twenty-eight trillion, five hundred ten billion, eight hundred fifty-five million, five hundred twelve thousand, one hundred forty-six".